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Finding the Fourth Proportional to 1,148.27, 1,584.63 and 650.90

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Solution

The fourth proportional to 1,148.27, 1,584.63 and 650.90 is: 898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.27 : 1,584.63 = 650.90 : x
  2. Step 2: Convert to fraction form
    1,148.27/1,584.63 = 650.90/x
  3. Step 3: Cross multiply
    1,148.27x = 1,584.63 × 650.90
  4. Step 4: Simplify right side
    1,148.27x = 1,031,429.80
  5. Step 5: Solve for x
    x = 1,031,429.80/1,148.27
  6. Step 6: Final answer
    x = 898.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.